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Finding the Fourth Proportional to 121,407.40, 182,111.10 and 109,597.60

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Solution

The fourth proportional to 121,407.40, 182,111.10 and 109,597.60 is: 164,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,407.40 : 182,111.10 = 109,597.60 : x
  2. Step 2: Convert to fraction form
    121,407.40/182,111.10 = 109,597.60/x
  3. Step 3: Cross multiply
    121,407.40x = 182,111.10 × 109,597.60
  4. Step 4: Simplify right side
    121,407.40x = 19,958,939,493.36
  5. Step 5: Solve for x
    x = 19,958,939,493.36/121,407.40
  6. Step 6: Final answer
    x = 164,396.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.